4268522800 has 30 divisors (see below), whose sum is σ = 10255126988. Its totient is φ = 1707408960.

The previous prime is 4268522777. The next prime is 4268522801. The reversal of 4268522800 is 82258624.

It is a super-3 number, since 3×4268522800³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4268522800.

It is not an unprimeable number, because it can be changed into a prime (4268522801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5335254 + ... + 5336053.

Almost surely, 2^4268522800 is an apocalyptic number.

4268522800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4268522800 is an abundant number, since it is smaller than the sum of its proper divisors (5986604188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4268522800 is a wasteful number, since it uses less digits than its factorization.

4268522800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671325 (or 10671314 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 4268522800 is about 65333.9329904453. The cubic root of 4268522800 is about 1622.1556934275.

The spelling of 4268522800 in words is "four billion, two hundred sixty-eight million, five hundred twenty-two thousand, eight hundred".